摘要
组合差商算法给出了求解一维双曲型方程的一类显式差分格式,其精度一般为O(3τ+h3),最高精度为O(4τ+h4).数值例子验证了理论分析结果的有效性.
Abstract A new kind of explicit difference scheme for one-dimension hyperbolic equation is proposed. The truncation error of the scheme is of order o (τ^4 + h^4 ). A numerical example shows that the scheme are effectives.
出处
《贵州大学学报(自然科学版)》
2006年第2期134-138,共5页
Journal of Guizhou University:Natural Sciences
关键词
一维双曲型方程
组合差商法
显式差分格式
截断误差
稳定性条件
one-dimension hyperbolic equation
combination difference quotient method
explicit difference scheme
the order of the truncation error
stability condition